The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial

Brian Conrey; Henryk Iwaniec; Kannan Soundararajan

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The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

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arxiv 1808.02879 v1 pith:WJRO3KOP submitted 2018-08-08 math.NT

The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

Brian Conrey , Henryk Iwaniec , Kannan Soundararajan This is my paper

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keywords dirichletanalogueanotherapplicationasymptoticbalasubramaniancharactersconductor

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We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to $Q$. This forms another application of our work in developing an asymptotic large sieve.

The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

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